22145330276000 has 192 divisors, whose sum is σ = 54645712351776. Its totient is φ = 8819988480000.

The previous prime is 22145330275987. The next prime is 22145330276033. The reversal of 22145330276000 is 67203354122.

It can be written as a sum of positive squares in 16 ways, for example, as 5815293666064 + 16330036609936 = 2411492^2 + 4041044^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407564134 + ... + 1407579866.

Almost surely, 2^{22145330276000} is an apocalyptic number.

22145330276000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22145330276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322856175888).

22145330276000 is an abundant number, since it is smaller than the sum of its proper divisors (32500382075776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22145330276000 is a wasteful number, since it uses less digits than its factorization.

22145330276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17252 (or 17234 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 22145330276000 in words is "twenty-two trillion, one hundred forty-five billion, three hundred thirty million, two hundred seventy-six thousand".